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√2(√2-√3)+(√18 - √3):√3

Răspuns :

[tex] \sqrt{2} ( \sqrt{2} - \sqrt{3} )+( \sqrt{18} - \sqrt{3} ): \sqrt{3} =\\ \sqrt{4} - \sqrt{6} + \frac{ 3\sqrt{2} - \sqrt{3} }{ \sqrt{3} }=\\\\ \frac{\sqrt{3} (3 \sqrt{2} - \sqrt{3} )}{ \sqrt{3}* \sqrt{3} } =\\\\ 2- \sqrt{6} + \frac{3 \sqrt{6-3} }{3} =\\\\ 2- \frac{3 \sqrt{6}+ 3\sqrt{6} }{3} =\\\\ 2- \frac{3}{3} =\\\\ 2-1=[1] [/tex]